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Finding the Fourth Proportional to 23,802.40, 35,725.52 and 12,124

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Solution

The fourth proportional to 23,802.40, 35,725.52 and 12,124 is: 18,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.40 : 35,725.52 = 12,124 : x
  2. Step 2: Convert to fraction form
    23,802.40/35,725.52 = 12,124/x
  3. Step 3: Cross multiply
    23,802.40x = 35,725.52 × 12,124
  4. Step 4: Simplify right side
    23,802.40x = 433,136,204.48
  5. Step 5: Solve for x
    x = 433,136,204.48/23,802.40
  6. Step 6: Final answer
    x = 18,197.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.